# Can anyone explain this problem with an aid of a diagram?

The resultant force is 86.74 N at an angle of 72.1°

Sorry, no diagram!

Finally, convert the resultant into standard form.

Here's how:

Resolve into rectangular components (note the changes of angle measure into standard angles):

Now, add the one-dimensional components

and

Now, convert to standard form:

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Certainly! This problem involves calculating the force between two point charges located at specific coordinates in three-dimensional space. The force between the charges can be determined using Coulomb's law, which states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

To illustrate the problem with a diagram, we can represent the two charges (-1 C and 4 C) as points in three-dimensional space. The first charge, -1 C, is located at the point (-2, 6, -8), and the second charge, 4 C, is located at the point (2, -4, 1).

Using these coordinates, we can draw a three-dimensional coordinate system with axes labeled x, y, and z. Then, we can plot the two points corresponding to the positions of the charges. The point (-2, 6, -8) represents the location of the -1 C charge, and the point (2, -4, 1) represents the location of the 4 C charge.

Once the points are plotted, we can draw a line segment connecting the two points to represent the distance between them. This line segment will serve as the vector along which the force acts.

To calculate the force between the charges, we use Coulomb's law, which involves the magnitudes of the charges, the distance between them, and a constant. With the charges given in the problem (-1 C and 4 C), and knowing the coordinates of the points, we can plug these values into Coulomb's law to find the magnitude and direction of the force vector.

Finally, we can represent the force vector on the diagram by drawing an arrow along the line segment connecting the two charges. The direction of the arrow indicates the direction of the force, and the length of the arrow represents the magnitude of the force.

Overall, the diagram helps visualize the problem and understand how the forces between the charges are calculated based on their positions in three-dimensional space.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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